β Decays as Sensitive Probes of Lepton Flavor Universality

Andreas Crivellin (Paul Scherrer Institut, CH–5232 Villigen PSI, Switzerland; Physik-Institut, Universität Zürich, Winterthurerstrasse 190, CH–8057 Zürich, Switzerland) ; Martin Hoferichter (Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, CH–3012 Bern, Switzerland; Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195-1550, USA)

Nuclear β decays as well as the decay of the neutron are well-established low-energy probes of physics beyond the standard model (SM). In particular, with the axial-vector coupling of the nucleon gA determined from lattice QCD, the comparison between experiment and SM prediction is commonly used to derive constraints on right-handed currents. Further, in addition to the CKM element Vus from kaon decays, Vud from β decays is a critical input for the test of CKM unitarity. Here, we point out that the available information on β decays can be reinterpreted as a stringent test of lepton flavor universality (LFU). In fact, we find that the ratio of Vus from kaon decays over Vus from β decays (assuming CKM unitarity) is extremely sensitive to LFU violation (LFUV) in Wμν couplings thanks to a CKM enhancement by (Vud/Vus)220. From this perspective, recent hints for the violation of CKM unitarity can be viewed as further evidence for LFUV, fitting into the existing picture exhibited by semileptonic B decays and the anomalous magnetic moments of muon and electron. Finally, we comment on the future sensitivity that can be reached with this LFU violating observable and discuss complementary probes of LFU that may reach a similar level of precision, such as Γ(πμν)/Γ(πeν) at the PEN and PiENu experiments or even direct measurements of Wμν at an FCC-ee.

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      "title": "<math><mi>\u03b2</mi></math> Decays as Sensitive Probes of Lepton Flavor Universality"
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      "source": "APS", 
      "value": "Nuclear <math><mi>\u03b2</mi></math> decays as well as the decay of the neutron are well-established low-energy probes of physics beyond the standard model (SM). In particular, with the axial-vector coupling of the nucleon <math><msub><mi>g</mi><mi>A</mi></msub></math> determined from lattice QCD, the comparison between experiment and SM prediction is commonly used to derive constraints on right-handed currents. Further, in addition to the CKM element <math><msub><mi>V</mi><mrow><mi>u</mi><mi>s</mi></mrow></msub></math> from kaon decays, <math><msub><mi>V</mi><mrow><mi>u</mi><mi>d</mi></mrow></msub></math> from <math><mi>\u03b2</mi></math> decays is a critical input for the test of CKM unitarity. Here, we point out that the available information on <math><mi>\u03b2</mi></math> decays can be reinterpreted as a stringent test of lepton flavor universality (LFU). In fact, we find that the ratio of <math><msub><mi>V</mi><mrow><mi>u</mi><mi>s</mi></mrow></msub></math> from kaon decays over <math><msub><mi>V</mi><mrow><mi>u</mi><mi>s</mi></mrow></msub></math> from <math><mi>\u03b2</mi></math> decays (assuming CKM unitarity) is extremely sensitive to LFU violation (LFUV) in <math><mrow><mi>W</mi><mtext>\u2212</mtext><mi>\u03bc</mi><mtext>\u2212</mtext><mi>\u03bd</mi></mrow></math> couplings thanks to a CKM enhancement by <math><mo>(</mo><msub><mi>V</mi><mrow><mi>u</mi><mi>d</mi></mrow></msub><mo>/</mo><msub><mi>V</mi><mrow><mi>u</mi><mi>s</mi></mrow></msub><msup><mo>)</mo><mn>2</mn></msup><mo>\u223c</mo><mn>20</mn></math>. From this perspective, recent hints for the violation of CKM unitarity can be viewed as further evidence for LFUV, fitting into the existing picture exhibited by semileptonic <math><mi>B</mi></math> decays and the anomalous magnetic moments of muon and electron. Finally, we comment on the future sensitivity that can be reached with this LFU violating observable and discuss complementary probes of LFU that may reach a similar level of precision, such as <math><mi>\u0393</mi><mo>(</mo><mi>\u03c0</mi><mo>\u2192</mo><mi>\u03bc</mi><mi>\u03bd</mi><mo>)</mo><mo>/</mo><mi>\u0393</mi><mo>(</mo><mi>\u03c0</mi><mo>\u2192</mo><mi>e</mi><mi>\u03bd</mi><mo>)</mo></math> at the PEN and PiENu experiments or even direct measurements of <math><mi>W</mi><mo>\u2192</mo><mi>\u03bc</mi><mi>\u03bd</mi></math> at an FCC-ee."
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Published on:
10 September 2020
Publisher:
APS
Published in:
Physical Review Letters , Volume 125 (2020)
Issue 11
DOI:
https://doi.org/10.1103/PhysRevLett.125.111801
arXiv:
2002.07184
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: